This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Here are the solutions to the problems involving bearings and distances. Problem 4: A cyclist rides 55km on a bearing of 010^ to town Y, and from there, he rides 65km on a bearing of 100^ to town Z. a) Find the distance XZ. Let X be the starting point. We have a triangle XYZ with sides XY = 55 km and YZ = 65 km. We need to find the angle XYZ. The bearing from X to Y is 010^. The bearing from Y to Z is 100^. Draw a North line at Y. The angle between the North line at Y